Rank-3 scale: Difference between revisions

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Pairwise well-formed scales: Added a sentence on signatures
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Lhearne (talk | contribs)
Tags: Mobile edit Mobile web edit
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PWF scales can only have odd numbers of notes.
PWF scales can only have odd numbers of notes.


A signature, i.e., a generalisation of a MOS signature, can be used to uniquely define a an equivalence class of PWF scales equivalent under mirror-inversion and rotation, i.e., a chiral scale pair, or an achiral scale.
A signature, i.e., a generalisation of a MOS signature, can be used to uniquely define an equivalence class of PWF scales under mirror-inversion and rotation, i.e., a chiral scale pair, or an achiral scale.


'''Conjecture''': The GO scales of odd cardinality are the PWF scales that are not '''''abacaba'''''.
'''Conjecture''': The GO scales of odd cardinality are the PWF scales that are not '''''abacaba'''''.